A Hudson Valley farmer has 26 employees. He pays each employee $410 per week. After paying his workers for one week, the farmer has $126 left in his bank account. How much money did he have to begin with.

Answers

Answer 1

Given:

A Hudson Valley farmer has 26 employees.

Salary of each employee = $410 per week.

Remaining amount after one week = $126

To find:

The initial amount of money he begins with.

Solution:

We have,

Amount he pays to one employee in one week = $410

Amount he pays to 26 employee in one week = 26 × $410

                                                                             = $10660

Let x be the initial amount of money he begins with.

Remaining amount = Initial amount - Amount he pays to 26 employee in one week

[tex]126=x-10660[/tex]

[tex]126+10660=x[/tex]

[tex]10786=x[/tex]

Therefore, the initial amount of money he begins with is $10786.


Related Questions

Find the equation of this line.

Answers

Answer:

y = 1/3 x + 2

Step-by-step explanation:

We see points (-3, 1) and (3, 3).

We also see point (0, 2), the y-intercept.

To go from (-3, 1) to (3, 3), go up 2 and right 6.

slope = m = rise/run = 2/6 = 1/3

y = mx + b

y = 1/3 x + 2

What is the simplified form of 400x100 ?
O 200x10
O 200x50
O 20x10
O 20x50

Answers

Answer:

√400 x √100 = 40,000  

√40,000 = 200  

So your answer is 200 x 10.

Hope this Helps!!

Step-by-step explanation:

The value of the simplified form is,

⇒ 20 x¹⁰

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

√ 400 x¹⁰⁰

Now, We can simplify as;

⇒ √ 400 x¹⁰⁰

⇒ 20 x¹⁰

Thus, The value of the simplified form is,

⇒ 20 x¹⁰

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Multiply 2 1/2 x -4 3/5
Plz help

Answers

its -11.5 (or 1/2, you can write it like that too) if i'm not mistaken

Answer:

Step-by-step explanation:

2 1/2* -4 3/5=

5/2*-23/5

-23/2 or -11 1/2

Solve the question 35>-5(4-x)

Answers

Answer:

x < 11

Step-by-step explanation:

35 > -5(4 - x)

35 > -20 + 5x

55 > 5x

x < 11

Topic: Inequalities

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

The weight of infants follows a bell-shaped distribution with mean 7.5 pounds and standard deviation 1.75 pounds. A baby born two weeks early has a standardized score of –1.5. What is the baby’s actual weight? Round your answer to the nearest hundredth.

The baby weighed _____ pounds at birth.

Answers

Answer:

4.88

Step-by-step explanation:

Answer:

The person above me is right, they deserve brainliest.

It is 4.88

ED2021

Solve for y.
y+9=7

Any help

Answers

Answer:

-2

Step-by-step explanation:

7-9=-2 hope this helps

The answers the this is -2

What is the value of x?

Answers

Answer:

x = 146°

Step-by-step explanation:

(all angles in a triangle add up to 180°)

180 - 115 - 31 = 34

(supplmentary angle)

180 - 34 = 146°

PLS HELP will give brainleist

Answers

Answer:

just substitute the X's

2) -9,-39,41,6,-46
3) 19,7,22,-26
6) 2,-10,-7,-2,-3
7)45,18,72,-54

place them in the y section in order

Please help I’ll give brainiest

Answers

its an obtuse angle so each equation should equal 180

Hint: (9y+7) = 180 and (2y+98) = 180

hope this helps pls mark me brainliest

QUESTION ONE Solve for x.

Answers

Answer:

X = 144

Step-by-Step Explanation

To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours and paid $77.

Answers

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour    x=hours  y=total cost  

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5

Expand and simplify (3x-2)^2

Answers

Answer:

The answer is: 9x^2 - 12x + 4

Step-by-step explanation:

Perfect square formula: (a - b)^2 = a^2 - 2ab + b^2 ; a = 3x, b = 2

(3x)^2 - 2 * 3x * 2 + 2^2

Simplify:

9x^2 - 12x + 4

The expanded and simplified form of (3x-2)^2 is 9x^2 - 12x + 4.

To expand and simplify (3x-2)^2, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last and is a systematic way to multiply two binomials.

First, let's square the first term:

(3x)² = 9x²

Next, we multiply the outer terms:

(3x)(-2) = -6x

Then, we multiply the inner terms:

(-2)(3x) = -6x

Finally, we square the last term:

(-2)² = 4

Now, let's combine all the terms:

9x² - 6x - 6x + 4

Combining like terms, we have:

9x² - 12x + 4

So, the expanded and simplified form of (3x-2)² is 9x² - 12x + 4.

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A particular map shows a scale of 2 cm: 8 km. What would the map distance (in cm) be if the actual distance is 64 km?

Answers

Answer:

16cm

Step-by-step explanation:

Step one:

given

the scale of the map

[tex]2 cm: 8 km.[/tex]

Step two:

so if a scale of 2 cm represents 8 km.

       then let xcm be 64km

cross multiply we have

[tex]x*8= 64*2[/tex]

8x= 128

divide both sides by 8

[tex]x= 128/8\\\\x=16cm[/tex]

The map distance is 16cm

Unit rate for 321.5 miles in 5 hours

Answers

Answer:

64.3 Per hour

Step-by-step explanation:

If you divide 321.5 miles by 5 you get 64.3 per hour and to check you could times 64.3 by 5 to get 321.5

321.5 / 5 = 64.3

64.3 x 5 = 321.5

In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X = (3x-17)^{\circ}m∠X=(3x−17) ∘ . Find \text{m}\angle X.M∠X.

Answers

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

PLEASE PLEASE HELP. I’ll give branliest....I’m begging.

Answers

Answer:

Step-by-step explanation:

Things to remember,

1). Any point on the graph of a function is represented by [x, f(x)].

2). x-coordinates are the input values on x-axis and f(x) is the output value of the function on y-axis.

A). For x = 2, value of f(2) will be,

    f(2) = 4

B). For x = 5, value of f(5) will be,

    f(5) = 7

C). Since, 4 < 7

   Therefore, f(2) is less than f(5).

anyone play pokemon go?

Answers

Answer:

No

I hate pokemon.

That’s so last year

What is 60% of 90? *

Answers

Answer:

54

Step-by-step explanation:

You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.

3.) Duncan spent $70 and now has
$120. How much money did he have
before spending the 70?

Answers

Answer:

He started with $190

Answer:

190

Step-by-step explanation:

because $70 + $120 gives us $190 of how we got the answer is before he spending the 70$ he had $190.

Ranger simplified this expression. 3(2.7x + 5) – 2(4x – 1.6) What was Ranger's simplified expression? 0.1x + 18.2 –16.1x + 11.8 16x – 18.2 –0.1x + 11.8

Answers

Answer:

Ranger's simplified expression was 0.1x + 18.2

The correct answer is the first option.

Step-by-step explanation:

To simplify the given expression

3(2.7x + 5) – 2(4x – 1.6)

First, we will open the brackets by distributing 3 and 2, that is

(3×2.7x) + (3×5) -(2×4x) -(2×-1.6)

Now, we will get

8.1x + 15 - 8x +3.2

Now, collect like terms,

8.1x - 8x + 15 + 3.2

Then, we will get

0.1x + 18.2.

Hence, Ranger's simplified expression was 0.1x + 18.2.

The correct answer is the first option.

Answer:

It's A

Step-by-step explanation:

8. At the local pet store, zebra fish cost $2.20 each and neon letras cost $1.80 each. If Marsha bought 15 fish for
a total cost of $29.80, not including tax, how many of each type of fish did she buy?
a. 8 zebra fish, 7 neon tetras
b. 7 zebra fish, 8 ncon tetras
c. 6 zebra fish, 9 neon tetras
d. 9 zebra fisli, 6 ncoe tetras

Answers

Answer:

B. 7 zebra fish, 8 neon tetras

Step by step explanation:

First let's do process of elimination.

X A) 8 x 2.20 = 17.6, 7 x 1.80 = 12.6, 17.6 + 12.6 = 30.2

✔ B) 7 x 2.20 = 15.4, 8 x 1.80 = 14.4, 15.4 + 14.4 = 29.8

X C) 6 x 2.20 = 13.2, 9 x 1.8 = 16.2, 13.2 + 16.2 = 29.4

X D) 9 x 2.20 = 19.8, 6 x 1.8 = 10.8, 10.8 + 19.8 = 30.6

Sorry I’m might ask many more questions but I’m trying to finish this tonight so PLS HELP ASAP

Answers

Answer:

14 hours

Step-by-step explanation:

93 / 6 = 15.5 so every hour you drive 15.5 miles

217 / 15.5 = 14 you travel 14 miles overall

Answer :14
Step by step:14

2. Solve for x given given the following ​

Answers

Answer:

Step-by-step explanation:

Since the triangles are equivalent,

3x - 2 = 5

Solve for x.

3x = 7

x = 7/3

Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
a right triangle
isosceles triangle

Answers

Answer:

acute angle

Step-by-step explanation:

acute = angles that are less than 90⁰

The triangles which have three angles that measure less than 90° are:

acute triangle, equilateral triangle

What is acute triangle?

"An acute triangle is a triangle with three acute angles that means each angle measures less than 90°."

What is an equilateral triangle?

"An equilateral triangle is a triangle where all sides and angles are equal. Each angle of an equilateral triangle measures 60°. "

What is a right triangle?

"A right triangle is a triangle where one of the angle measures 90°. "

What is an isosceles triangle?

"A triangle that has two sides of equal length is called as an isosceles triangle. Also, two angles that are opposite to equal sides are always equal and measures less than 90°. "

For given question,

As one of the angle of right triangle measures 90°, it is not a required triangle.

Also, for isosceles triangle, although two equal angles measure less than 90°, the third angle can be 90°. So, an isosceles triangle is not a required triangle.

Therefore, the triangles that have three angles that measure less than 90° are:

1) acute triangle

2) equilateral triangle

Learn more about triangles here:

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A Rectangle has a length that is one foot longer than it’s width. If the area of the rectangle is 210ft^2 what are the dimensions?

Answers

Answer:

Required Answer:-

Let

[tex]\qquad\quad {:}\longmapsto\sf The\: breadth =x\: ft[/tex]

[tex]\qquad\quad {:}\longmapsto\sf The\:length=x+1ft[/tex]

[tex]\qquad\quad {:}\longmapsto\sf Area=210ft^2 [/tex]

As we know that in a rectangle

[tex]{\boxed {\sf Area=length\times Breadth}}[/tex]

Substitute the values

[tex]\qquad\quad {:}\longmapsto\sf x (x+1)=210 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2+x=210 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2+x-210=0 [/tex]

Factorise

[tex]\qquad\quad {:}\longmapsto\sf x^2+15x-14x-210=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x (x+15)-14 (x+15)=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf (x+15)(x-14)=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x+15=0\:or\:x-14=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x=-15\:or\:x=14 [/tex]

In menstruation there is no negative value .So (x=-15) can't be possible.

Hence correct value

[tex]\qquad\quad {:}\longmapsto\sf x=14[/tex]

__________________________

[tex]\qquad\quad {:}\longmapsto\sf Breadth =x=14ft[/tex]

[tex]\qquad\quad {:}\longmapsto\sf Length=x+1=14+1=15ft [/tex]

A plant cell has a length of 0.000085 what is it’s scientific notation

Answers

.85 * 10^-4 is the scientific notation

Answer:

8.5×10^-5

Step-by-step explanation:

8n-10=30 hheellppppp

Answers

Answer:

8n-10=30 n=5

8n-10=30 n=5

Answer:

8n-10=30

n=5

8(5)-10

40-10=30

n=5

HELP WILL GIVE BRAINLIEST!!

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

not a 100% sure just trying to help

what about two and nine hundredths?​

Answers

Answer:

2.09 is the answer now what

The environment club is having a trash pickup day. There are 130 people signed up to help. For the trash pickup day they will work in 4 people . No more than 4 people can join a group. How many groups are there? Explain how you interpreted the remainder.

Answers

Answer: 33 groups

Step-by-step explanation:

Number of people that signed for help = 130 people

Number of people that can join a group = 4.

Number of groups that will be formed will be:

= Number of people that signed for help / Number of people that can join a group

= 130/4

= 32.5

= 33 groups

Since there'll be a remainder of 2 people, they will form a new group making 33 groups.

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